Geodesic
The centers of spin symmetric group algebras and Catalan numbers.
Journal of Algebraic Combinatorics, Tome 29 (2009) no. 2, pp. 175-193.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Generalizing the work of Farahat-Higman on symmetric groups, we describe the structures of the even centers $Z _{ n}$ mathcalZ_n of integral spin symmetric group superalgebras, which lead to universal algebras termed as the spin FH-algebras. A connection between the odd Jucys-Murphy elements and the Catalan numbers is developed and then used to determine the algebra generators of the spin FH-algebras and of the even centers $Z _{ n}$ mathcalZ_n .
Keywords: keywords spin symmetric groups, jucys-murphy elements, Catalan numbers 
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     title = {The centers of spin symmetric group algebras and {Catalan} numbers.},
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Tysse, Jill; Wang, Weiqiang. The centers of spin symmetric group algebras and Catalan numbers.. Journal of Algebraic Combinatorics, Tome 29 (2009) no. 2, pp. 175-193. http://geodesic.mathdoc.fr/item/JAC_2009__29_2_a4/